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Mathematics 21 Online
OpenStudy (anonymous):

Can someone help me in Geometry? Question posted below.

OpenStudy (anonymous):

OpenStudy (marigirl):

Angles on a line add to 180. so we could denote angle AEC as x and make everything equal to 180

OpenStudy (anonymous):

I know that this angel is supplementary. (= 180 degrees). I just don't remember how to solve this equation to figure out the exact amount that angle AEC =. Do you know how to solve it @marigirl ?

OpenStudy (marigirl):

Would you have answers to check my working? I would add all the angles uo AEB+BEC+CED 11x-12+x+4x+1=180 16x-11=189 x=191/16 Calculate angle AEC 11x-12+x =524/4

OpenStudy (anonymous):

Which part do I need to solve?

OpenStudy (marigirl):

I added all the angles up and made it equal to 180 and then found angle AEC (which is what the question asked) would you be able to look at the answers to see if we are on the right track?

OpenStudy (anonymous):

What's the answer?

OpenStudy (marigirl):

I think its 525/4 or 131.25 degrees

OpenStudy (anonymous):

So AEC = 131.25?

OpenStudy (marigirl):

I think so

OpenStudy (anonymous):

Are you sure on that answer?

OpenStudy (marigirl):

I would add all the angles up AEB+BEC+CED 11x-12+x+4x+1=180 16x-11=180 x=191/16 Question asked to calculate angle AEC 11x-12+x =525/4 or 131.25 degrees That is what i think the answer is

OpenStudy (madhu.mukherjee.946):

@TQKMB what happened

OpenStudy (madhu.mukherjee.946):

your angle aec =139

OpenStudy (anonymous):

@madhu.mukherjee.946 How did you get 139?

OpenStudy (madhu.mukherjee.946):

okay wait i'm telling u

OpenStudy (anonymous):

@madhu.mukherjee.946 How did you get 139?

OpenStudy (madhu.mukherjee.946):

your ec is bisecting the angle bed

OpenStudy (madhu.mukherjee.946):

so angle ceb =angle ced

OpenStudy (madhu.mukherjee.946):

so if angle ced=4x+1 your angle ceb =4x+1

OpenStudy (madhu.mukherjee.946):

now angle aeb=11x-12 is given

OpenStudy (madhu.mukherjee.946):

now there is a geometric property that states that angles on a straight line =180

OpenStudy (madhu.mukherjee.946):

now 4x+1+4x+1+11x-12=180 19x-10=180 19x=190 x=10

OpenStudy (madhu.mukherjee.946):

so now angle aec=angle aeb+angle bec =11x-12+4x+1 now putting x=10 =110-12+40+1 =139

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